Quiz about Function Transformations

Question 1

Describe the transformation that occurred

g(x) = f(x + 3)

Accepted Answer

Left 3 units

Answer

Right 3 units

Answer

Vertical Stretch

Answer

Up 3 units

Question 2

Describe the transformation that occurred.

g(x) = f(x) + 2

Accepted Answer

up 2 units

Answer

left 2 units

Answer

Vertical Stretch

Answer

right 2 units

Question 3

Describe the transformation that occurred.

g(x) = f(x - 7)

Accepted Answer

right 7

Answer

Down 7

Answer

up 7

Answer

vertical compression

Question 4

Describe the transformation that occurred

g(x) = f(x) - 9

Accepted Answer

down 9

Answer

vertical compression

Answer

left 9

Answer

right 9

Question 5

Describe the transformation that occurred

g(x) = f(x) - 1

Accepted Answer

down 1

Answer

right 1

Answer

vertical compression

Answer

vertical stretch

Question 6

Describe the transformation that occurred

g(x) = f(x + 1)

Accepted Answer

left 1

Answer

right 1

Answer

vertical stretch

Answer

up 1

Question 7

Which of the following transformations are present (select all that apply)?

g(x)= -2f(2(x - 1)) + 2

Accepted Answer

vertical shift

Accepted Answer

reflection over horizontal axis

Accepted Answer

horizontal compression

Answer

reflection over vertical axis

Answer

Rotation about origin

Question 8

Given g(x) = f(x-3) + 5. What transformations took place from the original function f(x)?

Accepted Answer

Right 3 up 5

Answer

Left 3 up 5

Answer

Right 3 down 5

Answer

Left 3 down 5

Question 9

Describe the transformation of the equation below from the absolute value parent function. SELECT ALL THAT APPLY $$g\left(x\right)=\frac{1}{2}f\left(x+3\right)-2$$

Accepted Answer

left 3

Accepted Answer

Down 2

Accepted Answer

Shrink by 1/2

Answer

right 3

Answer

stretch by 2

Question 10

The function $$f\left(x\right)$$ was reflected over the y-axis and vertically stretched with a scale factor of 5 and shifted 4 units down. Which rule describes this transformation?

Accepted Answer

$$g\left(x\right)=5f\left(-x\right)-4$$

Answer

$$g\left(x\right)=f\left(-5x\right)-4$$

Answer

$$g\left(x\right)=5f\left(-x\right)+4$$

Answer

$$g\left(x\right)=-5f\left(x-4\right)$$

Question 11

The function $$f\left(x\right)$$ was reflected over the x-axis and vertically stretched with a scale factor of 3 and shifted 8 units up. Which rule describes this transformation?

Accepted Answer

$$g\left(x\right)=-3f\left(x\right)+8$$

Answer

$$g\left(x\right)=f\left(-3x\right)+8$$

Answer

$$g\left(x\right)=3f\left(-x\right)+8$$

Answer

$$g\left(x\right)=-3f\left(x-8\right)$$

Question 12

The function $$f\left(x\right)$$ was translated 2 units up and vertically shrunk with a scale factor of 0.5. Which rule describes this transformation?

Accepted Answer

$$g\left(x\right)=0.5f\left(x\right)+2$$

Answer

$$g\left(x\right)=f\left(0.5x\right)+2$$

Answer

$$g\left(x\right)=f\left(0.5x+2\right)$$

Answer

$$g\left(x\right)=0.5f\left(x+2\right)$$

Question 13

Describe the transformations that maps f(x) to g(x) = - f(x + 6) - 10

Accepted Answer

Reflect over x-axis
Shifted down 10 units
Shifted left 6 units

Answer

Reflect over y-axis
Shifted down 10 units
Shifted left 6 units

Answer

Reflect over x-axis
Shifted up 10 units
Shifted left 6 units

Answer

Reflect over y-axis
Shifted up 10 units
Shifted right 6 units

Question 14

If the blue is f(x),then the red must be

Accepted Answer

g(x)=f(x)-5

Answer

g(x)=f(x)+5

Answer

g(x)=f(x-5)

Answer

g(x)=f(x+5)

Question 15

Describe the transformation from dotted to solid.

Accepted Answer

g(x) = f(x) + 4

Answer

g(x) = f(x + 4)

Answer

g(x) = f(x - 4)

Answer

g(x) = f(x) - 4

Question 16

Describe the transformation from dotted to solid.

Accepted Answer

g(x) = f(x + 5) + 3

Answer

g(x) = f(x +3) + 5

Answer

g(x) = f(x - 5) + 3

Answer

g(x) = f(x - 3) + 5

Question 17

If the blue graph is f(x),the red must be...

Accepted Answer

g(x) = f(x - 3)

Answer

g(x) = f(x + 3)

Answer

g(x) = f(x)+ 3

Answer

g(x) = f(x)- 2

Question 18

What steps transform the graph $$f\left(x\right)$$ to $$g\left(x\right)=-\frac{1}{2}f\left(x-4\right)+1$$ ?

Accepted Answer

Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

Answer

Compressed by 1/2, shifted 4 units right and 1 unit up

Answer

Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

Answer

Stretched by 1/2, shifted 4 units right and 1 unit down

Question 19

Describe the transformation that occurred

g(x) =2f(x)

Accepted Answer

vertical stretch

Answer

Up 2 units

Answer

vertical compression

Answer

Right 2 Units

Question 20

Describe the transformation that occurred

g(x) = 1/5f(x)

Accepted Answer

vertical compression

Answer

Up 5 Units

Answer

vertical stretch

Answer

Down 5 Units

Function Transformations

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